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Simplifying 8p + -4p + -1(p + -7) + 9p + 6 = 12p + -7 Reorder the terms: 8p + -4p + -1(-7 + p) + 9p + 6 = 12p + -7 8p + -4p + (-7 * -1 + p * -1) + 9p + 6 = 12p + -7 8p + -4p + (7 + -1p) + 9p + 6 = 12p + -7 Reorder the terms: 7 + 6 + 8p + -4p + -1p + 9p = 12p + -7 Combine like terms: 7 + 6 = 13 13 + 8p + -4p + -1p + 9p = 12p + -7 Combine like terms: 8p + -4p = 4p 13 + 4p + -1p + 9p = 12p + -7 Combine like terms: 4p + -1p = 3p 13 + 3p + 9p = 12p + -7 Combine like terms: 3p + 9p = 12p 13 + 12p = 12p + -7 Reorder the terms: 13 + 12p = -7 + 12p Add '-12p' to each side of the equation. 13 + 12p + -12p = -7 + 12p + -12p Combine like terms: 12p + -12p = 0 13 + 0 = -7 + 12p + -12p 13 = -7 + 12p + -12p Combine like terms: 12p + -12p = 0 13 = -7 + 0 13 = -7 Solving 13 = -7 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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